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tankabanditka [31]
3 years ago
12

Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true? Choose two that appl

y.
A If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.
Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer: 30-40-50, or B

Step-by-step explanation:

Think of this equation of a right triangle. We know that the hypotenuse is 50 feet and leaning.

Since right triangles follow a formula is 3-4-5, then, 30, 40 and 50 is the answer.

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I believe the answer is 5!

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a mountain climber needs to descend 1,500 feet. he wants to do it in 4 equal descents . has far should he travel in each descent
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375 each descent

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1500/4 = 375

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Use the distributive property to write the expression as a product<br> 10+70x
grigory [225]

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10(1+7x)

Step-by-step explanation:

Just factored out the 10.

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to estimate the sum of two mixed carla round one number to 3 and other number to7 . what is the perimeter of the frame
Sloan [31]

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Step-by-step explanation:

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3 years ago
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
2 years ago
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